Overview
- Presents recent progress in algebraic and symbolic computation methods for functional systems
- Includes illustrated and explicit examples of the presented material
- Written by experts in the field
Part of the book series: Advances in Delays and Dynamics (ADVSDD, volume 9)
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Table of contents (11 chapters)
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Front Matter
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Effective Algebraic Methods for Linear Functional Systems
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Front Matter
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Symbolic Methods for Nonlinear Dynamical Systems and for Applications to Observation and Estimation Problems
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Front Matter
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Algebraic Geometry Methods for Systems and Control Theory
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Front Matter
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Back Matter
Keywords
About this book
This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
Editors and Affiliations
Bibliographic Information
Book Title: Algebraic and Symbolic Computation Methods in Dynamical Systems
Editors: Alban Quadrat, Eva Zerz
Series Title: Advances in Delays and Dynamics
DOI: https://doi.org/10.1007/978-3-030-38356-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-38355-8Published: 31 May 2020
Softcover ISBN: 978-3-030-38358-9Published: 31 May 2021
eBook ISBN: 978-3-030-38356-5Published: 30 May 2020
Series ISSN: 2197-117X
Series E-ISSN: 2197-1161
Edition Number: 1
Number of Pages: XV, 311
Number of Illustrations: 31 b/w illustrations, 4 illustrations in colour
Topics: Systems Theory, Control, Vibration, Dynamical Systems, Control, Calculus of Variations and Optimal Control; Optimization